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KLMN is a parallelogram. Find each measure
а
mZK
K
(7x + 12)
(4x + 3)
N
3

KLMN Is A Parallelogram Find Each Measure А MZK K 7x 12 4x 3 N 3 class=

Sagot :

Answer:

Firstly, since KLMN is a parallelogram, side KL is parallel to NM, and KN is a transversal. By the Same-Side Interior Angle Theorem, we know that angles K and N sum up to 180 degrees. We can use this to form an equation where 7x + 12 + 4x + 3 = 180. Now we simplify this equation to 11x + 15 = 180. Now, we can subtract 15 from both sides of this equation and isolate the x variable by dividing both sides of this equation by 11, to get x = 11. Now we can substitute the value of x into our original expressions. So we get 7(11) + 12 = 89 and 4(11) + 3 = 36.

Step-by-step explanation:

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